Math @ Duke

Publications [#244128] of David G. Schaeffer
Papers Published
 Gremaud, PA; Matthews, JV; Schaeffer, DG, Secondary circulation in granular flow through nonaxisymmetric hoppers,
Siam Journal on Applied Mathematics, vol. 64 no. 2
(June, 2004),
pp. 583600, ISSN 00361399 [Gateway.cgi], [doi]
(last updated on 2019/06/17)
Abstract: Jenike's radial solution, widely used in the design of materialshandling equipment, is a similarity solution of steadystate continuum equations for the flow under gravity of granular material through an infinite, rightcircular cone. In this paper we study how the geometry of the hopper influences this solution. Using perturbation theory, we compute a firstorder correction to the (steadystate) velocity resulting from a small change in hopper geometry, either distortion of the cross section or tilting away from vertical. Unlike for the Jenike solution, all three components of the correction velocity are nonzero; i.e., there is secondary circulation in the perturbed flow.


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